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    ​The average of eight numbers is 20. The average of five of these numbers is 16. The average of the remaining three numbers is
    Question

    ​The average of eight numbers is 20. The average of five of these numbers is 16. The average of the remaining three numbers is

    A.

    27.67


    B.

    28.67

    C.

    26.67

    D.

    ​25.67

    Correct option is C

    Given:

    Average of 8 numbers = 20

    Average of 5 of these numbers = 16

    Formula Used:

    Average =Sum of observationsNumber of observations \frac{Sum\ of \ observations}{Number\ of \ observations}​​

    Solution:

    Here total of 8 numbers = 8 ×\times​ 20 = 160

    Total of 5 numbers  = 5 ×\times​ 16 = 80

    Total of 3 numbers left = 160 - 80 = 80

    Average of 3 numbers = 803=26.66626.67\frac{80}{3} = 26.666 \sim 26.67​​

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